Add 15637 and 29181: Vertical Addition Practice Problem

Q: Why do I keep getting the wrong answer even when I'm careful?

The most common issue is forgetting to add carried numbers in the next column! Remember: each column sum = original digits + any carry from the previous column.

Q: What if I forget where I carried a number?

Write small carry numbers above each column as you go! For example, write a small '1' above the hundreds place when 3 + 8 = 11 in the tens place.

Q: Should I start adding from the left or right side?

Always start from the right (units place)! Adding from left to right makes carrying much more complicated and leads to errors.

Q: How can I double-check my addition quickly?

Try these methods: Add the numbers in reverse orderUse a calculator to verifyRound both numbers and see if your answer makes sense

Q: What does it mean when my answer has more digits than both original numbers?

That's normal! When you add $ 15637 + 29181 $, you get a 5-digit answer because the leftmost digits (1 + 2) plus carries can create an additional digit.

Multi-Digit Addition with Carrying Operations

$\begin{aligned} &15637\\ +& \\ &29181 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider combining 2 digits, and then place

00:06 Let's start by combining ones with ones

00:09 Place the ones

00:13 Combine tens with tens

00:16 Place tens in tens, and add 1 to hundreds

00:19 Combine hundreds with hundreds, remember to add 1 to the calculation

00:22 Place hundreds in hundreds

00:26 Combine thousands with thousands

00:30 Place in thousands, add 1 to tens of thousands

00:35 Combine tens of thousands with tens of thousands, add 1 to calculation

00:39 Place in tens of thousands

00:42 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &15637\\ +& \\ &29181 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we need to perform vertical addition on the two numbers $15637$ and $29181$ . Follow these steps:

Step 1: Align the numbers vertically, ensuring the rightmost digits (units place) align.
Step 2: Start adding from the rightmost digits (units place):
- Add 7 (from 15637) + 1 (from 29181) = 8. Write 8 in the units place.
- Move to the next column: add 3 + 8 = 11. Write 1 in the tens place and carry over 1 to the hundreds place.
- Now add the hundreds place: 6 + 1 (carry-over) + 1 = 8. Write 8 in the hundreds place.
- Next, add the thousands place: 5 + 9 = 14. Write 4 in the thousands place and carry over 1 to the ten-thousands place.
- Finally, add the ten-thousands place: 1 + 1 (carry-over) + 2 = 4. Write 4 in the ten-thousands place.
After carrying over appropriately and adding each digit, the result is 44818.

Therefore, the sum of $15637$ and $29181$ is $44818$ .

Final Answer

44818

Key Points to Remember

Essential concepts to master this topic

Alignment Rule: Stack numbers with rightmost digits perfectly aligned vertically
Carrying Technique: When sum exceeds 9, write units digit and carry tens
Verification: Check by adding in reverse order: 29181 + 15637 = 44818 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when digits sum to 10 or more
Don't ignore carries when 3 + 8 = 11 or 5 + 9 = 14 = wrong final answer! Missing carries creates errors that compound through all remaining columns. Always write the units digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

Why do I keep getting the wrong answer even when I'm careful?

The most common issue is forgetting to add carried numbers in the next column! Remember: each column sum = original digits + any carry from the previous column.

What if I forget where I carried a number?

Write small carry numbers above each column as you go! For example, write a small '1' above the hundreds place when 3 + 8 = 11 in the tens place.

Should I start adding from the left or right side?

Always start from the right (units place)! Adding from left to right makes carrying much more complicated and leads to errors.

How can I double-check my addition quickly?

Try these methods:

Add the numbers in reverse order
Use a calculator to verify
Round both numbers and see if your answer makes sense

What does it mean when my answer has more digits than both original numbers?

That's normal! When you add $15637 + 29181$ , you get a 5-digit answer because the leftmost digits (1 + 2) plus carries can create an additional digit.

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